J Calculating Friction: Determining Energy Lost in Sled Ramp Descent

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In summary, calculating friction in a sled ramp descent is important for determining the energy lost and making adjustments to improve efficiency. This is typically done using the formula F = μN, taking into account factors such as materials, weight, and surface conditions. Considering friction is crucial for optimizing the speed and safety of the descent. The information obtained from these calculations can be applied in real-world scenarios to improve the design and construction of ramps and structures for activities such as sledding and skiing.
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bobsmith76
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Homework Statement



A sled weighing 70kg, going at 14 m/s, slides down a ramp 3 m high. It's final velocity is 15.6 m/s. How much energy was lost due to friction?


Homework Equations



.5mvi2 + mgh = .5mvf2 + x

where x = joules of energy for friction

The Attempt at a Solution



step 1 .5(70)(142+70(9.8)(3) = .5(70)(15.62 + x

step 2 6860 + 2058 = 8570 + x

step 3 6860 + 2058 - 8570 = x

step 4 401 = x

The books says the answer is 74
 
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  • #2
I'd say that you were correct. (8570 is a typo, though.)
 

1. What is the purpose of calculating friction in a sled ramp descent?

The purpose of calculating friction in a sled ramp descent is to determine the amount of energy that is lost due to friction. This information can then be used to make adjustments to the ramp design or materials used in order to reduce the amount of energy lost and make the descent more efficient.

2. How is friction calculated in a sled ramp descent?

Friction is typically calculated using the formula F = μN, where F is the force of friction, μ is the coefficient of friction, and N is the normal force. In a sled ramp descent, the normal force is equal to the weight of the sled and rider, and the coefficient of friction depends on the materials and surfaces in contact.

3. Why is it important to consider friction in a sled ramp descent?

Considering friction is important in a sled ramp descent because it can greatly impact the speed and efficiency of the descent. Too much friction can slow down the sled and rider, while too little friction can make the descent too fast and potentially dangerous. By calculating and understanding friction, adjustments can be made to optimize the descent.

4. What factors can affect the amount of friction in a sled ramp descent?

The amount of friction in a sled ramp descent can be affected by a variety of factors, including the materials and surfaces in contact, the weight of the sled and rider, the slope and angle of the ramp, and any external forces such as wind or moisture. The condition and smoothness of the surfaces can also play a role in the amount of friction present.

5. How can the information from calculating friction be applied in real-world scenarios?

The information obtained from calculating friction in a sled ramp descent can be applied in real-world scenarios by informing the design and construction of ramps and other structures used for activities such as sledding, skiing, and snowboarding. By understanding and minimizing the energy lost to friction, these activities can be made more efficient and enjoyable for participants.

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